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Finding the Third Proportional to 49,584.50 and 75,539

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Solution

The third proportional to 49,584.50 and 75,539 is: 115,079.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,584.50 : 75,539 = 75,539 : x
  2. Step 2: Convert to fraction form
    49,584.50/75,539 = 75,539/x
  3. Step 3: Cross multiply
    49,584.50x = 75,539 × 75,539
  4. Step 4: Simplify right side
    49,584.50x = 5,706,140,521
  5. Step 5: Solve for x
    x = 5,706,140,521/49,584.50
  6. Step 6: Final answer
    x = 115,079.12

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.